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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> *  Method of class Isol_hor to compute physical parameters of the horizon</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *    (see file isol_hor.h for documentation).</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> *   Copyright (c) 2004  Jose Luis Jaramillo</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> *   This file is part of LORENE.</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> *   LORENE is free software; you can redistribute it and/or modify</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> *   it under the terms of the GNU General Public License version 2</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> *   as published by the Free Software Foundation.</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> *   LORENE is distributed in the hope that it will be useful,</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> *   but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> *   GNU General Public License for more details.</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> *   You should have received a copy of the GNU General Public License</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> *   along with LORENE; if not, write to the Free Software</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> *   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keywordtype">char</span> single_param_C[] = <span class="stringliteral">&quot;$Header: /cvsroot/Lorene/C++/Source/Isol_hor/single_param.C,v 1.3 2014/10/13 08:53:01 j_novak Exp $&quot;</span> ;</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment"> * $Id: single_param.C,v 1.3 2014/10/13 08:53:01 j_novak Exp $</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment"> * $Log: single_param.C,v $</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment"> * Revision 1.3  2014/10/13 08:53:01  j_novak</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment"> * Lorene classes and functions now belong to the namespace Lorene.</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment"> * Revision 1.2  2014/10/06 15:13:11  j_novak</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment"> * Modified #include directives to use c++ syntax.</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment"> * Revision 1.1  2007/04/13 15:28:35  f_limousin</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment"> * Lots of improvements, generalisation to an arbitrary state of</span></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment"> * rotation, implementation of the spatial metric given by Samaya.</span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment"> * $Header: /cvsroot/Lorene/C++/Source/Isol_hor/single_param.C,v 1.3 2014/10/13 08:53:01 j_novak Exp $</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">// C++ headers</span></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#include &quot;headcpp.h&quot;</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">// C headers</span></div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#include &lt;cassert&gt;</span></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="comment">// Lorene headers</span></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#include &quot;isol_hor.h&quot;</span></div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#include &quot;metric.h&quot;</span></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#include &quot;evolution.h&quot;</span></div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">#include &quot;unites.h&quot;</span></div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#include &quot;scalar.h&quot;</span></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#include &quot;vector.h&quot;</span></div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#include &quot;graphique.h&quot;</span></div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#include &quot;utilitaires.h&quot;</span></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceLorene.html">Lorene</a> {</div><div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#af918e214cd958479ae62f4fefbbd7860">   68</a></span>&#160;<span class="keyword">const</span> <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> <a class="code" href="classLorene_1_1Single__hor.html#af918e214cd958479ae62f4fefbbd7860">Single_hor::b_tilde</a>()<span class="keyword">const </span>{</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> tmp = <a class="code" href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">contract</a>( <a class="code" href="classLorene_1_1Single__hor.html#af5c50ab400de271933eaf5c5b1a91af9">beta</a>, 0, <a class="code" href="classLorene_1_1Single__hor.html#afe720995ba4bc7c8070892425bc48266">tgam</a>.<a class="code" href="classLorene_1_1Metric.html#a257b22c31563fbe885018f620dbca274">radial_vect</a>()</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;             .<a class="code" href="classLorene_1_1Tensor.html#a8c9572c90fbc06c6961d6ecf605280d5">down</a>(0, <a class="code" href="classLorene_1_1Single__hor.html#afe720995ba4bc7c8070892425bc48266">tgam</a>), 0) ;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  </div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  <span class="keywordflow">return</span> tmp ;</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;}</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div><div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#a161f870181402e1e5fa8c6aa8c3c3904">   77</a></span>&#160;<span class="keyword">const</span> <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> <a class="code" href="classLorene_1_1Single__hor.html#a161f870181402e1e5fa8c6aa8c3c3904">Single_hor::darea_hor</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  </div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> tmp = <a class="code" href="group__cmp__m.html#ga413bb5fbac0a412d8044249cb585e566">sqrt</a>( <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().cov()(2,2) * <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().cov()(3,3) - </div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;             <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().cov()(2,3) * <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().cov()(2,3)) ;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  </div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  tmp.<a class="code" href="classLorene_1_1Scalar.html#a4eae068572578d6fdd0ab74b90c17b76">std_spectral_base</a>() ;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  </div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="keywordflow">return</span> tmp ;</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  </div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;}</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#a6c59f737043a6c083ee215beb48c9cf0">   88</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#a6c59f737043a6c083ee215beb48c9cf0">Single_hor::area_hor</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    </div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> integrand (<a class="code" href="classLorene_1_1Single__hor.html#a161f870181402e1e5fa8c6aa8c3c3904">darea_hor</a>()) ;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    integrand.<a class="code" href="classLorene_1_1Scalar.html#a0c8ee8d8269f914f47cf178acbb6043f">raccord</a>(1) ;</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classLorene_1_1Single__hor.html#a592c9e6e5e04a90f5c514bc089d20058">mp</a>.<a class="code" href="classLorene_1_1Map__af.html#af65264a0ecd24deaa7a065b03f46de9e">integrale_surface</a>(integrand, <a class="code" href="classLorene_1_1Single__hor.html#a0ceaea5bf9488e2152096f26bb7ed99a">radius</a> + 1e-15) ;</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;}</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#a046a509b124fcae46db9150ed6dbed1e">   97</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#a046a509b124fcae46db9150ed6dbed1e">Single_hor::radius_hor</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  <span class="keywordtype">double</span> resu =  <a class="code" href="classLorene_1_1Single__hor.html#a6c59f737043a6c083ee215beb48c9cf0">area_hor</a>() / (4. * M_PI);</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  resu = <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>(resu, 1./2.) ;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <span class="keywordflow">return</span> resu ;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;}</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div><div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#abbe77a663ad659e16e3b58cc4243288d">  107</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#abbe77a663ad659e16e3b58cc4243288d">Single_hor::ang_mom_hor</a>()<span class="keyword">const </span>{</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="comment">// Vector \partial_phi</span></div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <a class="code" href="classLorene_1_1Vector.html">Vector</a> phi (<a class="code" href="classLorene_1_1Single__hor.html#a4b92ef2f4bce4f448b4b7c11fcce0b0d">ff</a>.<a class="code" href="classLorene_1_1Metric.html#af15af256870423f41119ba2bd98f1cae">get_mp</a>(), CON, *(<a class="code" href="classLorene_1_1Single__hor.html#a4b92ef2f4bce4f448b4b7c11fcce0b0d">ff</a>.<a class="code" href="classLorene_1_1Metric__flat.html#acdb82170934b3de33904265ca140f387">get_triad</a>()) ) ;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> tmp (<a class="code" href="classLorene_1_1Single__hor.html#a4b92ef2f4bce4f448b4b7c11fcce0b0d">ff</a>.<a class="code" href="classLorene_1_1Metric.html#af15af256870423f41119ba2bd98f1cae">get_mp</a>() ) ;</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  tmp = 1 ;</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  tmp.<a class="code" href="classLorene_1_1Scalar.html#a4eae068572578d6fdd0ab74b90c17b76">std_spectral_base</a>() ;</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  tmp.mult_rsint() ;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  phi.<a class="code" href="classLorene_1_1Vector.html#ae6ed605a9527b3b5ae0b810fbef713a6">set</a>(1) = 0. ;</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  phi.<a class="code" href="classLorene_1_1Vector.html#ae6ed605a9527b3b5ae0b810fbef713a6">set</a>(2) = 0. ;</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  phi.<a class="code" href="classLorene_1_1Vector.html#ae6ed605a9527b3b5ae0b810fbef713a6">set</a>(3) = tmp ; </div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  </div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> k_rphi = <a class="code" href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">contract</a>(<a class="code" href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">contract</a>( <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().radial_vect(), 0, </div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                     <a class="code" href="classLorene_1_1Single__hor.html#a2fde41f3b65fd34d26d3e2f3d9ed495c">get_k_dd</a>(), 0), 0, </div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;               phi, 0) / (8. * M_PI) ;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> integrand = k_rphi * <a class="code" href="classLorene_1_1Single__hor.html#a161f870181402e1e5fa8c6aa8c3c3904">darea_hor</a>() ;   <span class="comment">// we correct with the curved </span></div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                                              <span class="comment">// element of area </span></div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="keywordtype">double</span> ang_mom = <a class="code" href="classLorene_1_1Single__hor.html#a592c9e6e5e04a90f5c514bc089d20058">mp</a>.<a class="code" href="classLorene_1_1Map__af.html#af65264a0ecd24deaa7a065b03f46de9e">integrale_surface</a>(integrand, <a class="code" href="classLorene_1_1Single__hor.html#a0ceaea5bf9488e2152096f26bb7ed99a">radius</a> + 1e-15) ;</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  <span class="keywordflow">return</span> ang_mom ;</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;}</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">// Mass  (fundamental constants made 1)</span></div><div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#a2db4717655f5a05b7cd19c7603138cdc">  135</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#a2db4717655f5a05b7cd19c7603138cdc">Single_hor::mass_hor</a>()<span class="keyword">const </span>{</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  </div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keywordtype">double</span> rr = <a class="code" href="classLorene_1_1Single__hor.html#a046a509b124fcae46db9150ed6dbed1e">radius_hor</a>() ;</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  <span class="keywordtype">double</span>  tmp = <a class="code" href="group__cmp__m.html#ga413bb5fbac0a412d8044249cb585e566">sqrt</a>( <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( rr, 4) + 4 * <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( <a class="code" href="classLorene_1_1Single__hor.html#abbe77a663ad659e16e3b58cc4243288d">ang_mom_hor</a>(), 2) ) / ( 2 * rr ) ;</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                                          </div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  <span class="keywordflow">return</span> tmp ;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;}</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="comment">// Surface gravity</span></div><div class="line"><a name="l00146"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#aab16e9dd83463a6dd68a4dda81e8b9b6">  146</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#aab16e9dd83463a6dd68a4dda81e8b9b6">Single_hor::kappa_hor</a>()<span class="keyword"> const</span>{</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  </div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  <span class="keywordtype">double</span> rr = <a class="code" href="classLorene_1_1Single__hor.html#a046a509b124fcae46db9150ed6dbed1e">radius_hor</a>() ;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  <span class="keywordtype">double</span> jj = <a class="code" href="classLorene_1_1Single__hor.html#abbe77a663ad659e16e3b58cc4243288d">ang_mom_hor</a>() ;</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  <span class="keywordtype">double</span> tmp = (<a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( rr, 4) - 4 * <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( jj, 2)) / ( 2 * <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( rr, 3) </div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;             *  <a class="code" href="group__cmp__m.html#ga413bb5fbac0a412d8044249cb585e566">sqrt</a>( <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( rr, 4) + 4 * <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( jj, 2) ) ) ;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  </div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;  <span class="keywordflow">return</span> tmp ;</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;}</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="comment">// Orbital velocity</span></div><div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#acbc26124b212e62de183a3dc2dff2788">  160</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#acbc26124b212e62de183a3dc2dff2788">Single_hor::omega_hor</a>()<span class="keyword">const </span>{</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  </div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  <span class="keywordtype">double</span> rr = <a class="code" href="classLorene_1_1Single__hor.html#a046a509b124fcae46db9150ed6dbed1e">radius_hor</a>() ;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;  <span class="keywordtype">double</span> jj = <a class="code" href="classLorene_1_1Single__hor.html#abbe77a663ad659e16e3b58cc4243288d">ang_mom_hor</a>() ;</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <span class="keywordtype">double</span> tmp = 2 * jj / ( rr *  <a class="code" href="group__cmp__m.html#ga413bb5fbac0a412d8044249cb585e566">sqrt</a>( <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( rr, 4) + 4 * <a class="code" href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">pow</a>( jj, 2) ) ) ;</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  </div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="keywordflow">return</span> tmp ;</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;}</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">// ADM angular momentum</span></div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div><div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#a7971ffc15b2a9dbd5f5bd5532e7f264e">  174</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classLorene_1_1Single__hor.html#a7971ffc15b2a9dbd5f5bd5532e7f264e">Single_hor::ang_mom_adm</a>()<span class="keyword">const </span>{</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> integrand =  (<a class="code" href="classLorene_1_1Single__hor.html#a2fde41f3b65fd34d26d3e2f3d9ed495c">get_k_dd</a>()(1,3) - <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().<a class="code" href="classLorene_1_1Metric.html#a473e4f1086bffee5a73ba8b7907ba78d">cov</a>()(1,3) * <a class="code" href="classLorene_1_1Single__hor.html#af94320eff0bb0b04d07af1bb20115e01">trK</a>) / </div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    (8. * M_PI)  ;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  integrand.<a class="code" href="classLorene_1_1Scalar.html#a99eac3aee1138a18a1df675f353ca53e">mult_rsint</a>() ;  <span class="comment">// in order to pass from the triad </span></div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;                            <span class="comment">// component to the coordinate basis</span></div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <span class="keywordtype">double</span> tmp = <a class="code" href="classLorene_1_1Single__hor.html#a592c9e6e5e04a90f5c514bc089d20058">mp</a>.<a class="code" href="classLorene_1_1Map__af.html#ac7f0afa9699931c28dbe34601a57d9ec">integrale_surface_infini</a>(integrand) ;</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  <span class="keywordflow">return</span>  tmp ;</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;}</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="comment">// Expansion</span></div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div><div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="classLorene_1_1Single__hor.html#a720fad10fb2675671466ec987d6bf642">  190</a></span>&#160;<a class="code" href="classLorene_1_1Scalar.html">Scalar</a> <a class="code" href="classLorene_1_1Single__hor.html#a720fad10fb2675671466ec987d6bf642">Single_hor::expansion</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  <a class="code" href="classLorene_1_1Scalar.html">Scalar</a> expa = <a class="code" href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">contract</a>(<a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().radial_vect().derive_cov(<a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>()), 0,1) </div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    + <a class="code" href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">contract</a>(<a class="code" href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">contract</a>(<a class="code" href="classLorene_1_1Single__hor.html#a2fde41f3b65fd34d26d3e2f3d9ed495c">get_k_dd</a>(), 0, <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().radial_vect(), 0), </div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;           0, <a class="code" href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">get_gam</a>().radial_vect(), 0) - <a class="code" href="classLorene_1_1Single__hor.html#af94320eff0bb0b04d07af1bb20115e01">trK</a> ; </div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  <span class="keywordflow">return</span> expa ;</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;}</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;}</div><div class="ttc" id="classLorene_1_1Single__hor_html_a2db4717655f5a05b7cd19c7603138cdc"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a2db4717655f5a05b7cd19c7603138cdc">Lorene::Single_hor::mass_hor</a></div><div class="ttdeci">double mass_hor() const</div><div class="ttdoc">Mass computed at the horizon. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00135">single_param.C:135</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a0f000364487fa37c9b993cc056e8ec82"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a0f000364487fa37c9b993cc056e8ec82">Lorene::Single_hor::get_gam</a></div><div class="ttdeci">const Metric &amp; get_gam() const</div><div class="ttdoc">metric  </div><div class="ttdef"><b>Definition:</b> <a href="single__hor_8C_source.html#l00339">single_hor.C:339</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_acbc26124b212e62de183a3dc2dff2788"><div class="ttname"><a href="classLorene_1_1Single__hor.html#acbc26124b212e62de183a3dc2dff2788">Lorene::Single_hor::omega_hor</a></div><div class="ttdeci">double omega_hor() const</div><div class="ttdoc">Orbital velocity. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00160">single_param.C:160</a></div></div>
<div class="ttc" id="classLorene_1_1Map__af_html_af65264a0ecd24deaa7a065b03f46de9e"><div class="ttname"><a href="classLorene_1_1Map__af.html#af65264a0ecd24deaa7a065b03f46de9e">Lorene::Map_af::integrale_surface</a></div><div class="ttdeci">double integrale_surface(const Cmp &amp;ci, double rayon) const</div><div class="ttdoc">Performs the surface integration of ci on the sphere of radius rayon . </div><div class="ttdef"><b>Definition:</b> <a href="map__af__integ__surf_8C_source.html#l00090">map_af_integ_surf.C:90</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_afe720995ba4bc7c8070892425bc48266"><div class="ttname"><a href="classLorene_1_1Single__hor.html#afe720995ba4bc7c8070892425bc48266">Lorene::Single_hor::tgam</a></div><div class="ttdeci">Metric tgam</div><div class="ttdoc">3 metric tilde </div><div class="ttdef"><b>Definition:</b> <a href="isol__hor_8h_source.html#l00977">isol_hor.h:977</a></div></div>
<div class="ttc" id="group__cmp__m_html_ga413bb5fbac0a412d8044249cb585e566"><div class="ttname"><a href="group__cmp__m.html#ga413bb5fbac0a412d8044249cb585e566">Lorene::sqrt</a></div><div class="ttdeci">Cmp sqrt(const Cmp &amp;)</div><div class="ttdoc">Square root. </div><div class="ttdef"><b>Definition:</b> <a href="cmp__math_8C_source.html#l00220">cmp_math.C:220</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_aab16e9dd83463a6dd68a4dda81e8b9b6"><div class="ttname"><a href="classLorene_1_1Single__hor.html#aab16e9dd83463a6dd68a4dda81e8b9b6">Lorene::Single_hor::kappa_hor</a></div><div class="ttdeci">double kappa_hor() const</div><div class="ttdoc">Surface gravity. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00146">single_param.C:146</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a6c59f737043a6c083ee215beb48c9cf0"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a6c59f737043a6c083ee215beb48c9cf0">Lorene::Single_hor::area_hor</a></div><div class="ttdeci">double area_hor() const</div><div class="ttdoc">Area of the horizon. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00088">single_param.C:88</a></div></div>
<div class="ttc" id="classLorene_1_1Map__af_html_ac7f0afa9699931c28dbe34601a57d9ec"><div class="ttname"><a href="classLorene_1_1Map__af.html#ac7f0afa9699931c28dbe34601a57d9ec">Lorene::Map_af::integrale_surface_infini</a></div><div class="ttdeci">double integrale_surface_infini(const Cmp &amp;ci) const</div><div class="ttdoc">Performs the surface integration of ci at infinity. </div><div class="ttdef"><b>Definition:</b> <a href="map__af__integ__surf_8C_source.html#l00196">map_af_integ_surf.C:196</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a2fde41f3b65fd34d26d3e2f3d9ed495c"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a2fde41f3b65fd34d26d3e2f3d9ed495c">Lorene::Single_hor::get_k_dd</a></div><div class="ttdeci">const Sym_tensor &amp; get_k_dd() const</div><div class="ttdoc">k_dd </div><div class="ttdef"><b>Definition:</b> <a href="single__hor_8C_source.html#l00348">single_hor.C:348</a></div></div>
<div class="ttc" id="namespaceLorene_html"><div class="ttname"><a href="namespaceLorene.html">Lorene</a></div><div class="ttdoc">Lorene prototypes. </div><div class="ttdef"><b>Definition:</b> <a href="app__hor_8h_source.html#l00064">app_hor.h:64</a></div></div>
<div class="ttc" id="classLorene_1_1Scalar_html"><div class="ttname"><a href="classLorene_1_1Scalar.html">Lorene::Scalar</a></div><div class="ttdoc">Tensor field of valence 0 (or component of a tensorial field). </div><div class="ttdef"><b>Definition:</b> <a href="scalar_8h_source.html#l00387">scalar.h:387</a></div></div>
<div class="ttc" id="classLorene_1_1Metric__flat_html_acdb82170934b3de33904265ca140f387"><div class="ttname"><a href="classLorene_1_1Metric__flat.html#acdb82170934b3de33904265ca140f387">Lorene::Metric_flat::get_triad</a></div><div class="ttdeci">const Base_vect * get_triad() const</div><div class="ttdoc">Returns the vectorial basis (triad) on which the metric is defined. </div><div class="ttdef"><b>Definition:</b> <a href="metric_8h_source.html#l00309">metric.h:309</a></div></div>
<div class="ttc" id="classLorene_1_1Metric_html_a257b22c31563fbe885018f620dbca274"><div class="ttname"><a href="classLorene_1_1Metric.html#a257b22c31563fbe885018f620dbca274">Lorene::Metric::radial_vect</a></div><div class="ttdeci">virtual const Vector &amp; radial_vect() const</div><div class="ttdoc">Returns the radial vector normal to a spherical slicing and pointing toward spatial infinity...</div><div class="ttdef"><b>Definition:</b> <a href="metric_8C_source.html#l00362">metric.C:362</a></div></div>
<div class="ttc" id="classLorene_1_1Scalar_html_a4eae068572578d6fdd0ab74b90c17b76"><div class="ttname"><a href="classLorene_1_1Scalar.html#a4eae068572578d6fdd0ab74b90c17b76">Lorene::Scalar::std_spectral_base</a></div><div class="ttdeci">virtual void std_spectral_base()</div><div class="ttdoc">Sets the spectral bases of the Valeur va to the standard ones for a scalar field. ...</div><div class="ttdef"><b>Definition:</b> <a href="scalar_8C_source.html#l00784">scalar.C:784</a></div></div>
<div class="ttc" id="classLorene_1_1Vector_html"><div class="ttname"><a href="classLorene_1_1Vector.html">Lorene::Vector</a></div><div class="ttdoc">Tensor field of valence 1. </div><div class="ttdef"><b>Definition:</b> <a href="vector_8h_source.html#l00188">vector.h:188</a></div></div>
<div class="ttc" id="classLorene_1_1Metric_html_af15af256870423f41119ba2bd98f1cae"><div class="ttname"><a href="classLorene_1_1Metric.html#af15af256870423f41119ba2bd98f1cae">Lorene::Metric::get_mp</a></div><div class="ttdeci">const Map &amp; get_mp() const</div><div class="ttdoc">Returns the mapping. </div><div class="ttdef"><b>Definition:</b> <a href="metric_8h_source.html#l00202">metric.h:202</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a7971ffc15b2a9dbd5f5bd5532e7f264e"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a7971ffc15b2a9dbd5f5bd5532e7f264e">Lorene::Single_hor::ang_mom_adm</a></div><div class="ttdeci">double ang_mom_adm() const</div><div class="ttdoc">ADM angular Momentum. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00174">single_param.C:174</a></div></div>
<div class="ttc" id="classLorene_1_1Scalar_html_a0c8ee8d8269f914f47cf178acbb6043f"><div class="ttname"><a href="classLorene_1_1Scalar.html#a0c8ee8d8269f914f47cf178acbb6043f">Lorene::Scalar::raccord</a></div><div class="ttdeci">void raccord(int n)</div><div class="ttdoc">Performs the  matching of the nucleus with respect to the first shell. </div><div class="ttdef"><b>Definition:</b> <a href="scalar__raccord_8C_source.html#l00062">scalar_raccord.C:62</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a720fad10fb2675671466ec987d6bf642"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a720fad10fb2675671466ec987d6bf642">Lorene::Single_hor::expansion</a></div><div class="ttdeci">Scalar expansion() const</div><div class="ttdoc">Expansion of the outgoing null normal ( ) </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00190">single_param.C:190</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_af94320eff0bb0b04d07af1bb20115e01"><div class="ttname"><a href="classLorene_1_1Single__hor.html#af94320eff0bb0b04d07af1bb20115e01">Lorene::Single_hor::trK</a></div><div class="ttdeci">Scalar trK</div><div class="ttdoc">Trace of the extrinsic curvature. </div><div class="ttdef"><b>Definition:</b> <a href="isol__hor_8h_source.html#l00989">isol_hor.h:989</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a046a509b124fcae46db9150ed6dbed1e"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a046a509b124fcae46db9150ed6dbed1e">Lorene::Single_hor::radius_hor</a></div><div class="ttdeci">double radius_hor() const</div><div class="ttdoc">Radius of the horizon. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00097">single_param.C:97</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_af5c50ab400de271933eaf5c5b1a91af9"><div class="ttname"><a href="classLorene_1_1Single__hor.html#af5c50ab400de271933eaf5c5b1a91af9">Lorene::Single_hor::beta</a></div><div class="ttdeci">Vector beta</div><div class="ttdoc">Shift function . </div><div class="ttdef"><b>Definition:</b> <a href="isol__hor_8h_source.html#l00950">isol_hor.h:950</a></div></div>
<div class="ttc" id="classLorene_1_1Scalar_html_a99eac3aee1138a18a1df675f353ca53e"><div class="ttname"><a href="classLorene_1_1Scalar.html#a99eac3aee1138a18a1df675f353ca53e">Lorene::Scalar::mult_rsint</a></div><div class="ttdeci">void mult_rsint()</div><div class="ttdoc">Multiplication by  everywhere; dzpuis is not changed. </div><div class="ttdef"><b>Definition:</b> <a href="scalar__r__manip_8C_source.html#l00281">scalar_r_manip.C:281</a></div></div>
<div class="ttc" id="group__cmp__m_html_gaccaf4354b46be3ba97bb5bfb05b220ac"><div class="ttname"><a href="group__cmp__m.html#gaccaf4354b46be3ba97bb5bfb05b220ac">Lorene::pow</a></div><div class="ttdeci">Cmp pow(const Cmp &amp;, int)</div><div class="ttdoc">Power . </div><div class="ttdef"><b>Definition:</b> <a href="cmp__math_8C_source.html#l00348">cmp_math.C:348</a></div></div>
<div class="ttc" id="group__tens__cal_html_ga39112c7788de4bfd90424c7d552bae21"><div class="ttname"><a href="group__tens__cal.html#ga39112c7788de4bfd90424c7d552bae21">Lorene::contract</a></div><div class="ttdeci">Tenseur contract(const Tenseur &amp;, int id1, int id2)</div><div class="ttdoc">Self contraction of two indices of a Tenseur . </div><div class="ttdef"><b>Definition:</b> <a href="tenseur__operateur_8C_source.html#l00279">tenseur_operateur.C:279</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a161f870181402e1e5fa8c6aa8c3c3904"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a161f870181402e1e5fa8c6aa8c3c3904">Lorene::Single_hor::darea_hor</a></div><div class="ttdeci">const Scalar darea_hor() const</div><div class="ttdoc">Element of area of the horizon. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00077">single_param.C:77</a></div></div>
<div class="ttc" id="classLorene_1_1Metric_html_a473e4f1086bffee5a73ba8b7907ba78d"><div class="ttname"><a href="classLorene_1_1Metric.html#a473e4f1086bffee5a73ba8b7907ba78d">Lorene::Metric::cov</a></div><div class="ttdeci">virtual const Sym_tensor &amp; cov() const</div><div class="ttdoc">Read-only access to the covariant representation. </div><div class="ttdef"><b>Definition:</b> <a href="metric_8C_source.html#l00280">metric.C:280</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a592c9e6e5e04a90f5c514bc089d20058"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a592c9e6e5e04a90f5c514bc089d20058">Lorene::Single_hor::mp</a></div><div class="ttdeci">Map_af &amp; mp</div><div class="ttdoc">Affine mapping. </div><div class="ttdef"><b>Definition:</b> <a href="isol__hor_8h_source.html#l00900">isol_hor.h:900</a></div></div>
<div class="ttc" id="classLorene_1_1Vector_html_ae6ed605a9527b3b5ae0b810fbef713a6"><div class="ttname"><a href="classLorene_1_1Vector.html#ae6ed605a9527b3b5ae0b810fbef713a6">Lorene::Vector::set</a></div><div class="ttdeci">Scalar &amp; set(int)</div><div class="ttdoc">Read/write access to a component. </div><div class="ttdef"><b>Definition:</b> <a href="vector_8C_source.html#l00296">vector.C:296</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_abbe77a663ad659e16e3b58cc4243288d"><div class="ttname"><a href="classLorene_1_1Single__hor.html#abbe77a663ad659e16e3b58cc4243288d">Lorene::Single_hor::ang_mom_hor</a></div><div class="ttdeci">double ang_mom_hor() const</div><div class="ttdoc">Angular momentum (modulo) </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00107">single_param.C:107</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a0ceaea5bf9488e2152096f26bb7ed99a"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a0ceaea5bf9488e2152096f26bb7ed99a">Lorene::Single_hor::radius</a></div><div class="ttdeci">double radius</div><div class="ttdoc">Radius of the horizon in LORENE&amp;#39;s units. </div><div class="ttdef"><b>Definition:</b> <a href="isol__hor_8h_source.html#l00906">isol_hor.h:906</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_a4b92ef2f4bce4f448b4b7c11fcce0b0d"><div class="ttname"><a href="classLorene_1_1Single__hor.html#a4b92ef2f4bce4f448b4b7c11fcce0b0d">Lorene::Single_hor::ff</a></div><div class="ttdeci">Metric_flat ff</div><div class="ttdoc">3 metric flat </div><div class="ttdef"><b>Definition:</b> <a href="isol__hor_8h_source.html#l00980">isol_hor.h:980</a></div></div>
<div class="ttc" id="classLorene_1_1Single__hor_html_af918e214cd958479ae62f4fefbbd7860"><div class="ttname"><a href="classLorene_1_1Single__hor.html#af918e214cd958479ae62f4fefbbd7860">Lorene::Single_hor::b_tilde</a></div><div class="ttdeci">const Scalar b_tilde() const</div><div class="ttdoc">Radial component of the shift with respect to the conformal metric. </div><div class="ttdef"><b>Definition:</b> <a href="single__param_8C_source.html#l00068">single_param.C:68</a></div></div>
<div class="ttc" id="classLorene_1_1Tensor_html_a8c9572c90fbc06c6961d6ecf605280d5"><div class="ttname"><a href="classLorene_1_1Tensor.html#a8c9572c90fbc06c6961d6ecf605280d5">Lorene::Tensor::down</a></div><div class="ttdeci">Tensor down(int ind, const Metric &amp;gam) const</div><div class="ttdoc">Computes a new tensor by lowering an index of *this. </div><div class="ttdef"><b>Definition:</b> <a href="tensor__calculus_8C_source.html#l00265">tensor_calculus.C:265</a></div></div>
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